Milestones in Mathematical History

Mathematics

A challenging collection of questions regarding the originators, first formal proofs, and foundational discoveries in mathematics.

history logic calculus number theory

10 Questions Hard Ages 16+ Aug 6, 2026

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This study set covers Mathematics through 10 practice questions. A challenging collection of questions regarding the originators, first formal proofs, and foundational discoveries in mathematics. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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1 Who is historically credited with the first recorded instance of using a mathematical proof to determine the height of the Great Pyramid of Giza by measuring shadows?

A Thales of Miletus
B Pythagoras
C Archimedes
D Euclid

2 In which 16th-century work did Gerolamo Cardano first publish the general algebraic solution for cubic equations?

A Liber Quadratorum
B Ars Magna
C Summa de arithmetica
D La Géométrie

3 Which mathematician is credited with the discovery of the first 'non-Euclidean' geometry, specifically hyperbolic geometry, independently of Bolyai?

A Bernhard Riemann
B Carl Friedrich Gauss
C Henri Poincaré
D Giuseppe Peano

4 The 'Pell's equation' is a misnomer attributed by Euler; which mathematician did he actually intend to credit for the study of this equation?

A Lord Brouncker
B John Pell
C Pierre de Fermat
D Diophantus

5 Who published the first treatise on the calculus of variations, establishing the foundations for the field in 1744?

A Isaac Newton
B Gottfried Wilhelm Leibniz
C Leonhard Euler
D Joseph-Louis Lagrange

6 What is the name of the first printed mathematical book, published in 1478, which contains the first known appearance of the plus and minus signs in print?

A Treviso Arithmetic
B The Elements
C Liber Abaci
D De Arte Supputandi

7 Which 19th-century mathematician published the first formal rigorous definition of the limit of a function using 'epsilon-delta' notation?

A Augustin-Louis Cauchy
B Karl Weierstrass
C Bernhard Bolzano
D Richard Dedekind

8 Who was the first person to prove that the set of real numbers is uncountable using his famous diagonal argument?

A Kurt Gödel
B Georg Cantor
C Bertrand Russell
D David Hilbert

9 In 1824, which mathematician proved the impossibility of solving general quintic equations by radicals?

A Évariste Galois
B Niels Henrik Abel
C Paolo Ruffini
D Joseph-Louis Lagrange

10 Which scholar is credited with the first known use of the symbol 'π' (pi) to represent the ratio of a circle's circumference to its diameter in 1706?

A William Jones
B Leonhard Euler
C John Machin
D Isaac Newton

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